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Finding the Fourth Proportional to 2,195.44, 3,291.42 and 1,099.24

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Solution

The fourth proportional to 2,195.44, 3,291.42 and 1,099.24 is: 1,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.44 : 3,291.42 = 1,099.24 : x
  2. Step 2: Convert to fraction form
    2,195.44/3,291.42 = 1,099.24/x
  3. Step 3: Cross multiply
    2,195.44x = 3,291.42 × 1,099.24
  4. Step 4: Simplify right side
    2,195.44x = 3,618,060.52
  5. Step 5: Solve for x
    x = 3,618,060.52/2,195.44
  6. Step 6: Final answer
    x = 1,647.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.